{"id":"https://openalex.org/W2105969869","doi":"https://doi.org/10.1109/tbme.2011.2122305","title":"Finite-Element-Based Discretization and Regularization Strategies for 3-D Inverse Electrocardiography","display_name":"Finite-Element-Based Discretization and Regularization Strategies for 3-D Inverse Electrocardiography","publication_year":2011,"publication_date":"2011-03-04","ids":{"openalex":"https://openalex.org/W2105969869","doi":"https://doi.org/10.1109/tbme.2011.2122305","mag":"2105969869","pmid":"https://pubmed.ncbi.nlm.nih.gov/21382763"},"language":"en","primary_location":{"id":"doi:10.1109/tbme.2011.2122305","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tbme.2011.2122305","pdf_url":null,"source":{"id":"https://openalex.org/S5240358","display_name":"IEEE Transactions on Biomedical Engineering","issn_l":"0018-9294","issn":["0018-9294","1558-2531"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Biomedical Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089438704","display_name":"Dafang Wang","orcid":"https://orcid.org/0000-0002-4699-8764"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dafang Wang","raw_affiliation_strings":["Scientific Computing and Imaging (SCI) Institute and the School of Computing, University of Utah, Salt Lake City , USA","Sci. Comput. & Imaging (SCI) Inst. & the Sch. of Comput., Univ. of Utah, Salt Lake City, UT, USA"],"affiliations":[{"raw_affiliation_string":"Scientific Computing and Imaging (SCI) Institute and the School of Computing, University of Utah, Salt Lake City , USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"Sci. Comput. & Imaging (SCI) Inst. & the Sch. of Comput., Univ. of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103752748","display_name":"Robert M. Kirby","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert M. Kirby","raw_affiliation_strings":["Scientific Computing and Imaging (SCI) Institute and the School of Computing, University of Utah, Salt Lake City , USA","Sci. Comput. & Imaging (SCI) Inst. & the Sch. of Comput., Univ. of Utah, Salt Lake City, UT, USA"],"affiliations":[{"raw_affiliation_string":"Scientific Computing and Imaging (SCI) Institute and the School of Computing, University of Utah, Salt Lake City , USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"Sci. Comput. & Imaging (SCI) Inst. & the Sch. of Comput., Univ. of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048780291","display_name":"Chris R. Johnson","orcid":"https://orcid.org/0000-0001-5673-5338"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chris R. Johnson","raw_affiliation_strings":["Scientific Computing and Imaging (SCI) Institute and the School of Computing, University of Utah, Salt Lake City , USA","Sci. Comput. & Imaging (SCI) Inst. & the Sch. of Comput., Univ. of Utah, Salt Lake City, UT, USA"],"affiliations":[{"raw_affiliation_string":"Scientific Computing and Imaging (SCI) Institute and the School of Computing, University of Utah, Salt Lake City , USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"Sci. Comput. & Imaging (SCI) Inst. & the Sch. of Comput., Univ. of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089438704"],"corresponding_institution_ids":["https://openalex.org/I223532165"],"apc_list":null,"apc_paid":null,"fwci":5.2993,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.95927959,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"58","issue":"6","first_page":"1827","last_page":"1838"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11700","display_name":"Hemodynamic Monitoring and Therapy","score":0.9776999950408936,"subfield":{"id":"https://openalex.org/subfields/2746","display_name":"Surgery"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7933397889137268},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7094482183456421},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.6531424522399902},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.593317985534668},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.5737051963806152},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5446509718894958},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.43254366517066956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42772048711776733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41295409202575684},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41213199496269226},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4011653661727905},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25848883390426636},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.132869690656662},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1109631359577179},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10685521364212036}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7933397889137268},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7094482183456421},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.6531424522399902},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.593317985534668},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.5737051963806152},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5446509718894958},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.43254366517066956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42772048711776733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41295409202575684},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41213199496269226},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4011653661727905},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25848883390426636},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.132869690656662},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1109631359577179},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10685521364212036},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004285","descriptor_name":"Dogs","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004285","descriptor_name":"Dogs","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004285","descriptor_name":"Dogs","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004285","descriptor_name":"Dogs","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006321","descriptor_name":"Heart","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D006321","descriptor_name":"Heart","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D006321","descriptor_name":"Heart","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D006321","descriptor_name":"Heart","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008955","descriptor_name":"Models, Cardiovascular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008955","descriptor_name":"Models, Cardiovascular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008955","descriptor_name":"Models, Cardiovascular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008955","descriptor_name":"Models, Cardiovascular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D018780","descriptor_name":"Body Surface Potential Mapping","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D018780","descriptor_name":"Body Surface Potential Mapping","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D018780","descriptor_name":"Body Surface Potential Mapping","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D018780","descriptor_name":"Body Surface Potential Mapping","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D020342","descriptor_name":"Finite Element Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D020342","descriptor_name":"Finite Element Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D020342","descriptor_name":"Finite Element Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D020342","descriptor_name":"Finite Element Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":3,"locations":[{"id":"doi:10.1109/tbme.2011.2122305","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tbme.2011.2122305","pdf_url":null,"source":{"id":"https://openalex.org/S5240358","display_name":"IEEE Transactions on Biomedical Engineering","issn_l":"0018-9294","issn":["0018-9294","1558-2531"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Biomedical Engineering","raw_type":"journal-article"},{"id":"pmid:21382763","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21382763","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on bio-medical engineering","raw_type":null},{"id":"pmh:oai:europepmc.org:2130886","is_oa":false,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3109267","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W629817986","https://openalex.org/W639628635","https://openalex.org/W1493181950","https://openalex.org/W1531455566","https://openalex.org/W1570089119","https://openalex.org/W1585556538","https://openalex.org/W1829060647","https://openalex.org/W1965363777","https://openalex.org/W1972819716","https://openalex.org/W1989402141","https://openalex.org/W1990495521","https://openalex.org/W1993946228","https://openalex.org/W2005681075","https://openalex.org/W2006608018","https://openalex.org/W2010040374","https://openalex.org/W2012155513","https://openalex.org/W2013665345","https://openalex.org/W2017387343","https://openalex.org/W2018207223","https://openalex.org/W2021929218","https://openalex.org/W2080838153","https://openalex.org/W2081636820","https://openalex.org/W2088831497","https://openalex.org/W2095509835","https://openalex.org/W2097631275","https://openalex.org/W2097879622","https://openalex.org/W2112280747","https://openalex.org/W2119722859","https://openalex.org/W2133560833","https://openalex.org/W2136821936","https://openalex.org/W2137924518","https://openalex.org/W2146224564","https://openalex.org/W2149846618","https://openalex.org/W2152224705","https://openalex.org/W2152739627","https://openalex.org/W2167750268","https://openalex.org/W2469416597","https://openalex.org/W4212789472","https://openalex.org/W4230960434","https://openalex.org/W4292414053","https://openalex.org/W6635210183"],"related_works":["https://openalex.org/W2337734184","https://openalex.org/W2388364587","https://openalex.org/W2322955667","https://openalex.org/W2373176546","https://openalex.org/W2127000180","https://openalex.org/W2050033254","https://openalex.org/W2561531189","https://openalex.org/W2152224705","https://openalex.org/W2385735574","https://openalex.org/W2374214022"],"abstract_inverted_index":{"We":[0,15,46,155],"consider":[1],"the":[2,23,27,34,53,56,62,83,99,113,119,139,162,187,191,196],"inverse":[3,24,35,84,192],"electrocardiographic":[4],"problem":[5,25,36,85],"of":[6,22,55,64,69,96,138,204],"computing":[7],"epicardial":[8],"potentials":[9],"from":[10,41],"a":[11,93,135,168,201],"body-surface":[12],"potential":[13],"map.":[14],"study":[16],"how":[17],"to":[18,77,112,149],"improve":[19],"numerical":[20,80],"approximation":[21],"when":[26,82],"finite-element":[28,103],"method":[29],"is":[30,86,147],"used.":[31],"Being":[32],"ill-posed,":[33],"requires":[37],"different":[38,89],"discretization":[39,153,180],"strategies":[40,185],"its":[42],"corresponding":[43],"forward":[44],"problem.":[45,57],"propose":[47,92],"refinement":[48],"guidelines":[49,60],"that":[50,179,195],"specifically":[51],"address":[52],"ill-posedness":[54],"The":[58,130],"resulting":[59],"necessitate":[61],"use":[63],"hybrid":[65,158],"finite":[66],"elements":[67],"composed":[68],"tetrahedra":[70],"and":[71,122,161,189,194],"prism":[72],"elements.":[73],"Also,":[74],"in":[75,127,151],"order":[76],"maintain":[78],"consistent":[79,125],"quality":[81],"discretized":[87],"into":[88],"scales,":[90],"we":[91],"new":[94],"family":[95],"regularizers":[97,107,164],"using":[98],"variational":[100,131,163,197],"principle":[101],"underlying":[102],"methods.":[104],"These":[105],"variational-formed":[106],"serve":[108],"as":[109],"an":[110],"alternative":[111],"traditional":[114,152],"Tikhonov":[115],"regularizers,":[116],"but":[117],"preserves":[118],"L(2)":[120],"norm":[121],"thereby":[123],"achieves":[124],"regularization":[126],"multiscale":[128],"simulations.":[129],"formulation":[132,198],"also":[133],"enables":[134],"simple":[136],"construction":[137],"discrete":[140],"gradient":[141],"operator":[142],"over":[143],"irregular":[144],"meshes,":[145],"which":[146],"difficult":[148],"define":[150],"schemes.":[154],"validated":[156],"our":[157,183],"element":[159],"technique":[160],"by":[165],"simulations":[166],"on":[167,182],"realistic":[169],"3-D":[170],"torso/heart":[171],"model":[172],"with":[173],"empirical":[174],"heart":[175],"data.":[176],"Results":[177],"show":[178],"based":[181],"proposed":[184],"mitigates":[186],"ill-conditioning":[188],"improves":[190],"solution,":[193],"may":[199],"benefit":[200],"broader":[202],"range":[203],"potential-based":[205],"bioelectric":[206],"problems.":[207]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":14},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}